# physics

An airplane flies 200 km due west from city A to city B and then 280 km in the direction of 30.5° north of west from city B to city C.
(a) In straight-line distance, how far is city C from city A?

(b) Relative to city A, in what direction is city C?
The answer is: 17.8 degrees north of west

I received help with this question before, but I keep getting the wrong answer for (a).

1. 👍
2. 👎
3. 👁
1. Show us what you did.

1. 👍
2. 👎
2. okay: I got the vector from A to B and then the vector from B to C to get the distance from A to C.

I got 200.00 from the vector from A to B and then 280.00 from the vector from B to C. I added them, but the answer is incorrect.

For A to B: I did 200cos30.5
200sin30.5

Then I did the pythagorean and got 200.00

For B to C: I did 280cos17.8
280sin17.8

Pythagorean and got 280.

1. 👍
2. 👎

## Similar Questions

1. ### Physics

A commuter airplane starts from an airport and takes the route shown in the figure below. The plane first flies to city A, located 175 km away in a direction 30.0° north of east. Next, it flies for 150 km 20.0° west of north, to

2. ### math

An airplane leaves Atlanta at 2 PM and flies north at 250 miles per hour. A second airplane leaves Atlanta 30 minutes later and flies north at 280 miles per hour. At what time will the second airplane overtake the first? Answer

3. ### Physics

An airplane flies 220 km due east, makes a right-angle, and then flies 400 km due north. Find the magnitude of the plane's displacement from it's starting point. Neglect the culrvature of the earth

4. ### math

An airplane is flying from Montreal to Vancouver. The wind is blowing from the west at 60km/hour. The airplane flies at an airspeed of 750km/h and must stay on a heading of 65 degrees west of north. A) what heading should the

1. ### math

The distance between city A and city B is 500 miles. On a certain wall map, this is represented by a length of 2.3 feet. On the map, how many feet would there be between city C and city D, two cities that are actually 800 miles

2. ### algebra

An airplane flies from City A in a straight line to City B, which is 70 kilometers north and 140 kilometers west of City A. How far does the plane fly?

3. ### physics

city b is north of city a and the 400 mile trip by care takes 8 the cities are 320 miles apart in a straight line what is the velocity of a trip from city a to city b

4. ### Calculus

The pilot of an airplane that flies with an airspeed of 800 km/h wishes to travel to a city 800 km due east. There is a 80 km/h wind FROM the northeast a) what should the plane's heading be? b) How long will the trip take?

1. ### History

How did the geographic location of Philadelphia affect the city's development? Because of its location on rivers, the city built bridges and used ferries to allow workers to access the city. Because of proximity to water, streets

2. ### algebra

Wilma drove at an average speed of 60 mi/h from her home in City A to visit her sister in City B. She stayed in City B 20 hours, and on the trip back averaged 50 mi/h. She returned home 45 hours after leaving. How many miles is

3. ### College Algebra

Wilma drove at an average speed of 35 mi/h from her home in City A to visit her sister in City B. She stayed in City B 15 hours, and on the trip back averaged 50 mi/h. She returned home 41 hours after leaving. How many miles is

4. ### physics

An airplane flies 200 km due west from city A to city B and then 260 km in the direction of 32.0° north of west from city B to city C. (a) In straight-line distance, how far is city C from city A? ?km (b) Relative to city A, in